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Finding the Fourth Proportional to 315,207.34, 435,022.41 and 175,520

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Solution

The fourth proportional to 315,207.34, 435,022.41 and 175,520 is: 242,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,207.34 : 435,022.41 = 175,520 : x
  2. Step 2: Convert to fraction form
    315,207.34/435,022.41 = 175,520/x
  3. Step 3: Cross multiply
    315,207.34x = 435,022.41 × 175,520
  4. Step 4: Simplify right side
    315,207.34x = 76,355,133,403.20
  5. Step 5: Solve for x
    x = 76,355,133,403.20/315,207.34
  6. Step 6: Final answer
    x = 242,237.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.